185318445312 has 972 divisors, whose sum is σ = 735061554864. Its totient is φ = 44381675520.

The previous prime is 185318445311. The next prime is 185318445313. The reversal of 185318445312 is 213544813581.

185318445312 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 184 + 453 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (185318445311) and next prime (185318445313).

It is not an unprimeable number, because it can be changed into a prime (185318445311) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 209873223 + ... + 209874105.

Almost surely, 2^185318445312 is an apocalyptic number.

185318445312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185318445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367530777432).

185318445312 is an abundant number, since it is smaller than the sum of its proper divisors (549743109552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

185318445312 is a wasteful number, since it uses less digits than its factorization.

185318445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 919 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 185318445312 in words is "one hundred eighty-five billion, three hundred eighteen million, four hundred forty-five thousand, three hundred twelve".